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Aleksandr-060686 [28]
2 years ago
10

Simplify the expression. If not possible, write simplified.

Mathematics
1 answer:
umka2103 [35]2 years ago
8 0

Answer:

-56c+ 30

Step-by-step explanation:

4c + 10(3 – 6c)

Rearrange terms

4c + 10(3 – 6c)

4c+10(-6c+3)

Distribute

4c+10(-6c+3)

4c-60c+30

Combine like terms

4c-60c+30

-56c+30

Common factor

-2(28c-15)

Distribute

-2(28c-15)

-56c+30

Solution:

-56c+30

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The independent-samples t testResearch Scenario: A forensic psychologist has developed a new program that teaches empathy and po
8_murik_8 [283]

Answer:

Step-by-step explanation:

Hello!

The researcher developed a treatment to teach social skills to youth offenders. To test if the treatment is effective in increasing empathy compared to the standard treatment she randomly selected a group of 9 offenders and applied the new treatment and to another group of 9 randomly selected youth offenders, she applied the standard treatment. (Note: the data corresponds to two samples of 9 units each, so I've used those sizes to conduct the test)

At the end of the treatment, she administers BES to measure their empathy levels. Her claim is that the offenders that received the new treatment will have higher BES scores than those who received the standard treatment.

1) Using the records obtained for both groups, she  intends to conduct an independent t-test to analyze her claim.

X₁: BES results of a youth offender treated with the new treatment.

X₂: BES results of a youth offender treated with the standard treatment.

H₀: μ₁ = μ₂

H₁: μ₁ ≠ μ₂

α:0.05

test statistic

t_{H_0}= -0.32

p-value: 0.7517

The p-value is greater than the significance level so the decision is to not reject the null hypothesis. This means that at a 5% significance level you can conclude that there is no difference between the mean BES scores of the youth offenders treated with the new treatment and the mean BES score of  the youth offenders treated with the standard treatment. The new treatment doesn't increase the levels of social empathy of the youth offenders.

I hope this helps

(Box plot in attachment)

7 0
3 years ago
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andriy [413]

Answer:

d. 8 units

Step-by-step explanation:

If AC = 16 units then the length of CB is 8 units because DB is perpendicular bisector from the centre of circle.

3 0
2 years ago
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marusya05 [52]

Answer:

(-10)² = -10 x -10 = 100

- 10² = - (10 x 10) = - 100

Step-by-step explanation:

(-10)² = -10 x -10 = 100

- 10² = - (10 x 10) = - 100

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Answer:

sometimes

Step-by-step explanation:

If this is an "always, sometimes, never" kind of problem, the answer is sometimes.

An isosceles triangle can be an obtuse triangle sometimes (but might be right or acute. An obtuse triangle can be isosceles or may be scalene. An obtuse triangle cannot be a right triangle nor equilateral.

The names for triangles comes from their angles:

right, acute, obtuse;

OR from their sides:

scalene, isosceles, equilateral.

4 0
2 years ago
Solve the absolute value equation. 1x1 + 2 = 11 Select the correct choico bolo EN
Alecsey [184]

Given data:

The given expression is |x|+2=11.

The given expression can be written as,

\begin{gathered} |x|+2=11 \\ |x|=9 \\ x=-9\text{ or 9} \end{gathered}

Thus, the value of x is 9 or -9.

3 0
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